Paper 1

2

1 Which pair contains one vector and one scalar quantity?

A displacement : acceleration

B force : kinetic energy

C momentum : velocity

D power : speed

2 The diagram below shows two trolleys, X and Y, about to collide and gives the momentum of

each trolley before the collision. After the collision, the directions of motion of both trolleys are

reversed and the magnitude of the momentum of X is then 2 N s.

What is the magnitude of the corresponding momentum of Y?

A 6 N s B 8 N s C 10 N s D 30 N s

3 A racing car accelerates uniformly through three gear, changes with the following average

speeds:

20 m s-1 for 2.0 s

40 m s-1 for 2.0 s

60 m s-1 for 6.0 s

What is the overall average speed of the car?

A 12 m s-1 B 13.3 m s-1 C 40 m s-1 D 48 m s-1

4 A force of 1000 N is needed to lift the hook of a crane at a steady velocity. The crane is then

used to lift a load of mass 1000 kg at a velocity of 0.5 m s-1. How much of the power developed by

the motor of the crane is used in lifting the hook and the load? [ Take g as 10 m s-2 ]

A 5.0 kW B 5.5 kW C 20 kW D 22 kW

3

5 A ball of mass 0.1 kg is attached to a string and swung in a vertical circle of radius 0.5 m . Its

speed at the top of the circle is 60 m s-1 as shown in the diagram below. What is the tension of the

circle at this moment? [Take g as 10 m s-2]

A 1.0 N B 6.2 N C 7.2 N D 8.2 N

6 The diagram shows an arrangement used to find the output power of an electric motor. The

wheel attached to the motor's axle has a circumference of 0.5 m and the belt which passes over it is

stationary when the weights have the values shown.

If the wheel makes 20 revolutions per second, what is the output power?

A 200 W B 300 W C 500 W D 600 W

20 N

50 N

wheel

motor

4

7 A communications satellite which takes 24 hours to orbit the Earth is replaced by a new

satellite which has twice the mass of the first. If the new satellite also has an orbit time of 24 hours,

the ratio of is

A B 1 C D 2

8 A small ball of weight W is suspended by a light thread. When a strong wind blows

horizontally, exerting a constant force F on the ball, the thread makes an angle θ to the vertical

as shown.

Which equation correctly relates θ , F and W?

A cos θ =

B s i n θ =

C t a n θ =

D t a n θ =

F

W

5

9 The gravitational potential energy Ep of a body varies with its distance r from the centre of a

planet as shown in the diagram below.

What does the gradient at any point on the curve represent?

A The gravitational potential at that value of r

B The gravitational field strength at that value of r

C The force pulling the body towards the planet

D The acceleration of the body towards the planet

10 When a body of mass 400 g is hung at the bottom of a spring, the spring is extended 5.0 cm.

When the mass is pulled down by a further 3.0 cm and released, it oscillates with simple harmonic

motion. The total energy of the body is

A 0.028 J B 0.035 J C 0.041 J D 0.048 J

11 The figure below represents the simple harmonic motion of a particle in a progressive wave

that is moving with speed 5.0 km s-1

Find the wavelength.

A 0.10 km B 0.25 km C 1.00 km D 2.50 km

+2

0

-2

10 20 30

Displacement / cm

Time / ms

r

6

12 A resonance tube opened at both ends and having a vibrating tuning fork placed near one end

A always has a node in the middle.

B always has an antinode in the middle.

C always has an odd total number of nodes

D always has an odd number for total number of nodes + antinodes

13 The diagram shows a transverse wave on a rope. The wave is travelling from left to right. At

the instant shown, the points P and Q on the rope have zero displacement and maximum

displacement respectively.

Which of the following describes the direction of motion, if any, of the points P and Q at this

instant?

A

B

C

D

point P

downwards

stationary

stationary

upwards

point Q

stationary

downwards

upwards

stationary

14 A stationary sound wave has a series of nodes. The distance between the first and the sixth

node is 30.0 cm. What is the wavelength of the sound wave?

A 5.0 cm B 6.0 cm C 10.0 cm D 12.0 cm

15 A sound wave with amplitude 0.20 mm is of intensity 3.0 W m-2. What is the intensity of

another sound wave of the same frequency but has an amplitude 0.40 mm?

A 6.0 W m-2 B 9.0 W m-2 C 12.0 W m-2 D 15.0 W m-2

16 Comparing the properties of solids, liquids and gases, which option is correct?

7

A

B

C

D

Property

ordering of molecules

spacing of molecules

translation of molecules

vibration of molecules

Solids

high

close

no

no

Liquids

not so high

far

no

yes

Gases

random

far

yes

yes

17 A beam, the weight of which may be neglected, is supported by three identical springs. When

a weight W is hung from the middle of the beam, the extension of each spring is x.

The middle spring and the weight are removed. What is the extension when a weight of 2W is

hung from the middle of the beam?

A B C 2x D 3x

18 Hydrogen and Nitrogen gas are diatomic gases.

What is the ratio of the mass of a hydrogen molecule to that of nitrogen molecule?

A 0.071 B 0.710 C 14.00 D 0.143

8

19 According to kinetic energy of gas, the internal energy of an ideal gas is best defined as

A total kinetic energy of the gas molecules

B average kinetic energy of the gas molecules

C total potential energy of the gas molecules

D average potential energy and kinetic energy of the gas molecules

20 The temperature of one mole of a diatomic gas drops from 30 0C to – 10 0C when 2000 J is

removed from it. Find the amount of work done on the gas.

A – 1169 J B – 831 J C – 499 J D 2831 J

21 In an adiabatic process, the internal energy of a system of gas s decreases by 800 J. Which of

the following statements is CORRECT?

A The system lost 800 J by heat transfer to its surroundings

B The system gained 800 J by heat transfer from its surroundings

C The system performed 800 J of work on its surroundings

D The surroundings performed 800 J of work on the system

22 The figure below show a bar made from two different substances R and S of the

same length and diameter as shown in figure below. They are placed end to end

and are in thermal contact with proper insulation on the outside. The ends R and S

are fixed at 0C and 60C respectively. The conductivity for R is twice that of S.

Find the steady state temperature for the surface between R and S.

A 20C B 30C C 60C D 120C

R S

0C 60C

9

23 The diagram below shows a conducting sphere of radius a carries an excessive charge of

+ Q. An uncharged metal rod MN is brought near the sphere. The axis of the rod is collinear with

a diameter through a point L on the sphere.

Which of the following graphs best illustrates the variation of potential V with distance x

along their common axes?

A C

B D

10

24 Three point charges of +2q, –q and +2q are fixed at the apexes of an isosceles right angled

triangle as shown in the figure. The direction of the resultant force on the charge of –q is

25 Three capacitors X, Y and Z of capacitances 6.0 F, 3.0 F and 2.0 F are

connected in series

with a 12.0 V battery. What are the potential differences across the capacitors

X, Y and Z?

26 The capacitance of a parallel-plate capacitor is 8.9 pF. It consists of two parallel plates

separated by a distance of 1.0 mm. The capacitor is charged to 6.0 V. What is the area of each

plate?

A 1.5 × 10–12 m2 B 6.7 × 10–11 m2 C 1.0 × 10–3 m2 D 6.0 × 10–3 m2

11

27 A lamp that is rated 60 W 240 V is connected to a 120 V supply. What is the power

dissipated from the lamp?

A 15 W B 30 W C 60 W D 120 W

28 A piece of wire have a cross-sectional area A and the conductivity of its material is k.

The resistance per unit length of the wire is

A kA B

C D

29 A cell is connected in series with a variable resistor. When the resistance of the resistor is

varied, the potential difference V across the resistor varies with the current I as shown in the

graph.

The internal resistance of the cell is

A 0.5 Ω B 1.0 Ω C 1.5 Ω D 3.0 Ω

12

30 The cells shown in the circuit diagram have negligible internal resistances.

Which of the following correctly relates the current I1 to current I2?

A I1 – 2I2 = 1.5 V

B I1 – 2I2 = 4.5 V

C 4I1 – 2I2 = 1.5 V

D 4I1 + 2I2 = 4.5 V

31 The diagram below shows a transmission cable supported by pylon to transfer a 13A current

from generator. If the length of cable between the pylon is 300 m and the diameter of cable is 40.0

mm, what is the force produced in each cable?

A 0.55 N B 0.45 N C 0.35 N D 0.25 N

13

32 The diagram below shows a dc motor that produced back e.m.f 30 V when rotating at 1000

rpm. If the rotations is increase to 1200 rpm, what is the back e.m.f produced?

A 34 V B 36 V C 38 V D 40 V

33 The diagram below shows a copper wire cutting the magnetic flux 1.5 Tesla perpendicularly.

If the resistance of the wire is 3.5 ohm/m and the speed is 0.5 m s-1, what is the emf produce in the

wire

14

A 0.01 A B 0.11 A C 0.21 A D 0.31 A

34 Which of the following is NOT the uses of op-amps?

A Automatic electrical switch.

B Step-down volume.

C Voltage follower.

D Changing sinusoidal to rectangular waveforms.

35 The diagram below shows a non-inverting op-amps. What is the closed loop gain Acl?

A 1.20 B 1.30 C 1.25 D 1.35

36 A copper plate is heated until 100oC. It is cool by emitting

A electron B infra-red C gamma-ray D visible light

37 Which of the following electromagnetic waves is suitable for satellite communications?

A Infra red B Microwave C Ultraviolet D Gamma-ray

resistor

diode

15

38 The diagram below shows a rectification of alternating current using a diode. Which of the

following graph is TRUE about the current produce trace on the oscilloscope?

A B

C D

39 What is the function of capacitor?

A To produce an electron in the circuit.

B To store a charge in the circuit

C To rectify the current flows in one direction.

D To increase the voltage in the circuit

16

40 The student is using a convex lens with a focus length of 20.0 cm. What is the power of the

lens?

A 3 D B 4 D C 5 D D 6 D

41 A glass lens (n = 1.60) is coated with a thin, transparent film of magnesium fluoride (MgF2 ,

n=1.38) to make the lens non-reflecting. What is the minimum film thickness for the lens to be

non-reflecting for incident light of wavelength 550 nm?

A 108.8 nm B 99.6 nm C 56.8 nm D 234.8 nm

42 Monochromatic blue light (λ = 425 nm ) passes through a slit whose width is 0.50 m. What is

the width of the central maximum on a screen located 1.0 m from the slit?

A 0.09 cm B 0.17 cm C 1.2 cm D 2.2 cm

43 Monochromatic light is incident on a metal surface in a photocell. Which of the following

statements is correct?

A The rate at which electrons are emitted from the surface is proportional to the intensity

of the radiation.

B The rate at which electrons are emitted from the surface depends only on the frequency

of the radiation used.

C The intensity of the radiation used must be greater than a threshold value in order to

emit electrons.

D The wavelength of the radiation must be greater than a threshold value in order to emit

electrons.

17

44 An electron is accelerated from rest through a potential difference V. Which of the following

is the de Broglie wavelength of the electron after acceleration?

45 Which of the following gives evidence to support the existence of atomic energy levels?

A α-particle scattering

B Absorption spectra

C The existence of isotopes

D β-decay

46 Which of the following is a characteristic of laser light?

A Chromatic

B Coherent

C Longitudinal wave

D Occurs randomly

D

C

A

B

18

47 The diagram below shows a sketch of the X-ray spectrum produced when electrons strike a

heavy metal target.

The energy of the electrons incident on the metal is now increased. Which of the following

correctly describes the effect this will have on the minimum X-ray wavelength and the

wavelengths of the characteristic spectra?

Minimum X-ray

wavelength

Wavelengths of characteristic spectra

A no change no change

B decreases no change

C no change decreases

D decreases decreases

19

48 A thin gold foil is bombarded with α-particles as shown.

What can be deduced from this experiment?

A the binding energy of a gold nucleus

B the energy levels of electrons in gold atoms

C the small size of a gold nucleus

D the structure of a gold nucleus

49 Nuclear decay is both spontaneous and random. When the count rate of a radioactive isotope

is measured, the readings fluctuate. Which row describes what the fluctuations demonstrate?

Spontaneous

nature

Random

nature

A

B

C

D

No

No

Yes

Yes

No

Yes

No

Yes

20

50 The two classes of hadrons are

A leptons and bosons. B mesons and baryons.

C mesons and leptons. D bosons and mesons